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College Football Ranking of Rankings Systems
December, 13, 2008 (108 Rankings)
BCS
Problem - from Absolute to Relative theory
Kenneth
Massey has
made a remarkable thing -
has collected about
hundred ranking systems of College Football teams. And having assumed,
that as behind everyone ranking authors stand and all of them are equal and are
the experts as though armed with mathematics. And time so that is naturally
simple to calculate certain average ranking, for example, by summing ranks of
teams.
As has truly noticed by Kenneth Massey
models of an estimation of validity of ranks much. Probably as much how many
models of ranks.
More or less the general structure probably is fair.
ESTIMATION of the MISTAKE =
IMPORTANCE of MISTAKE * SIZE of MISTAKE
Here:
IMPORTANCE of MISTAKE = ESTIMATION of
WINNER'S RANK +
ESTIMATION of DEFEATED RANK
SIZE of MISTAKE = ESTIMATION of
DEFEATED RANK - ESTIMATION of WINNER'S RANK
It results in beautiful expression:
ESTIMATION of MISTAKE =
ESTIMATION of RANK DEFEATED ^ 2 -
ESTIMATION of WINNER'S RANK ^ 2
For the elementary estimation of the RANK of participants was used
RANK ESTIMATION = N - RANK
However it is not only one of possible
elementary arithmetic expressions.
- Err - number of errors
- RnkE - rank by errors
- WE - weighted errors
- RnkW - rank by weighted errors
Err gives us
teams points of view. (The less number of errors - the
better)
WE presents
fans points of view. (Errors in top of ranking list has
lager weight)
|
|
|
|
Teams PW |
Fans PW |
TOTALS |
|
Rnk |
Links to methods |
ABR |
Err |
Rnk |
WE |
Rnk |
SumRnk |
|
1 |
Wilson |
WIL |
116 |
6 |
225 |
5 |
11 |
|
2 |
McCormick |
MCK |
97 |
5 |
228 |
7 |
12 |
|
2 |
Sagarin-Elo |
SE |
117 |
8 |
225 |
4 |
12 |
|
2 |
Massey BCS |
MB |
118 |
9 |
224 |
3 |
12 |
|
5 |
RWP |
RWP |
119 |
11 |
210 |
2 |
13 |
|
6 |
Coleman's MinV |
CMV |
65 |
1 |
247 |
16 |
17 |
|
6 |
Self |
SEL |
118 |
9 |
232 |
8 |
17 |
|
8 |
Rothman |
RTH |
120 |
12 |
226 |
6 |
18 |
|
9 |
Sorensen |
SOR |
116 |
6 |
244 |
14 |
20 |
|
10 |
PGH |
PGH |
120 |
12 |
234 |
9 |
21 |
|
11 |
Ashburn BCSC |
ABC |
120 |
12 |
235 |
10 |
22 |
|
12 |
Krach |
KRA |
120 |
12 |
241 |
12 |
24 |
|
13 |
GTF |
GTF |
71 |
3 |
259 |
28 |
31 |
|
13 |
Dokter |
DOK |
121 |
16 |
245 |
15 |
31 |
|
15 |
TUB |
TUB |
122 |
20 |
250 |
17 |
37 |
|
16 |
GFM |
GFM |
75 |
4 |
267 |
34 |
38 |
|
17 |
ISR |
ISR |
123 |
21 |
250 |
18 |
39 |
|
17 |
Ashburn |
ASH |
124 |
28 |
241 |
11 |
39 |
|
19 |
Wobus |
WOB |
123 |
21 |
256 |
22 |
43 |
|
20 |
Billingsley |
BIL |
121 |
16 |
259 |
29 |
45 |
|
21 |
E-Rating |
ER |
123 |
21 |
258 |
25 |
46 |
|
21 |
Random Walker FL |
RFL |
123 |
21 |
258 |
25 |
46 |
|
23 |
Maas |
MAA |
123 |
21 |
260 |
30 |
51 |
|
24 |
Bihl |
BIH |
124 |
28 |
259 |
27 |
55 |
|
25 |
Maurer |
MAU |
121 |
16 |
270 |
43 |
59 |
|
26 |
Sagarin |
SAG |
126 |
41 |
254 |
19 |
60 |
|
27 |
Mease |
MEA |
124 |
28 |
267 |
35 |
63 |
|
28 |
GridMap |
GMP |
67 |
2 |
293 |
62 |
64 |
|
29 |
Anderson |
AND |
125 |
34 |
260 |
31 |
65 |
|
29 |
Fitzgerald |
FIT |
126 |
41 |
257 |
24 |
65 |
|
31 |
Bowl Champ Series |
BCS |
127 |
44 |
257 |
23 |
67 |
|
32 |
Kellner |
KEL |
124 |
28 |
269 |
42 |
70 |
|
33 |
Bobcat |
BOB |
125 |
34 |
268 |
38 |
72 |
|
34 |
TOL |
TOL |
123 |
21 |
279 |
52 |
73 |
|
35 |
Greenfield |
GRN |
130 |
63 |
241 |
13 |
76 |
|
36 |
Wolfe |
WOL |
127 |
44 |
267 |
36 |
80 |
|
37 |
Sportsline 120 |
SLN |
121 |
16 |
299 |
65 |
81 |
|
37 |
SportsDoc |
SD |
127 |
44 |
268 |
37 |
81 |
|
39 |
E+ |
Å+ |
130 |
63 |
256 |
20 |
83 |
|
39 |
Dolphin |
DOL |
128 |
51 |
261 |
32 |
83 |
|
39 |
Random Walker |
RW |
130 |
63 |
256 |
20 |
83 |
|
42 |
RTR |
RTR |
123 |
21 |
295 |
63 |
84 |
|
42 |
IPB |
IPB |
124 |
28 |
286 |
56 |
84 |
|
44 |
Colley |
COL |
125 |
34 |
283 |
53 |
87 |
|
44 |
Overtake &
Feedback |
OAF |
143 |
86 |
208 |
1 |
87 |
|
44 |
Estep-Landers |
EL |
124 |
28 |
291 |
59 |
87 |
|
47 |
HAW |
HAW |
125 |
34 |
286 |
55 |
89 |
|
48 |
Laz Index |
LAZ |
126 |
41 |
276 |
49 |
90 |
|
48 |
Cons |
Cons |
128 |
51 |
269 |
39 |
90 |
|
50 |
Waits |
E-Cons |
128 |
51 |
269 |
40 |
91 |
|
50 |
E- |
Å- |
127 |
44 |
274 |
47 |
91 |
|
52 |
Welch |
WEL |
125 |
34 |
288 |
58 |
92 |
|
52 |
Sauceda |
SAU |
129 |
59 |
262 |
33 |
92 |
|
54 |
Claassen |
CLA |
128 |
51 |
275 |
48 |
99 |
|
55 |
D1A Football |
D1A |
128 |
51 |
278 |
50 |
101 |
|
56 |
CA |
CA |
125 |
34 |
302 |
69 |
103 |
|
57 |
Rewards |
REW |
129 |
59 |
273 |
46 |
105 |
|
57 |
BSS |
BSS |
128 |
51 |
284 |
54 |
105 |
|
59 |
Coffey |
COF |
130 |
63 |
272 |
45 |
108 |
|
60 |
MJS Standings |
MJS |
127 |
44 |
300 |
66 |
110 |
|
61 |
Massey MOV |
MAS |
132 |
70 |
269 |
41 |
111 |
|
61 |
TRX |
TRX |
128 |
51 |
292 |
60 |
111 |
|
63 |
BPI Sports |
BPI |
128 |
51 |
293 |
61 |
112 |
|
64 |
DeSimone |
DES |
127 |
44 |
305 |
72 |
116 |
|
65 |
GRS |
GRS |
133 |
76 |
270 |
44 |
120 |
|
66 |
Keeper |
KEE |
132 |
70 |
278 |
51 |
121 |
|
67 |
Mark |
MRK |
129 |
59 |
313 |
76 |
135 |
|
68 |
Imes |
IMS |
134 |
79 |
287 |
57 |
136 |
|
68 |
E-Rating |
P+ |
125 |
34 |
361 |
102 |
136 |
|
70 |
Palm |
PSR |
131 |
69 |
300 |
68 |
137 |
|
71 |
CSL |
CSL |
129 |
59 |
318 |
79 |
138 |
|
72 |
Howell |
HOW |
132 |
70 |
303 |
70 |
140 |
|
73 |
GB Eldredge |
GBE |
130 |
63 |
316 |
78 |
141 |
|
74 |
AccuRatings |
ACU |
132 |
70 |
306 |
73 |
143 |
|
75 |
P- |
P- |
127 |
44 |
359 |
100 |
144 |
|
76 |
Whitlock |
WLK |
137 |
81 |
296 |
64 |
145 |
|
77 |
Solecismic |
SOL |
132 |
70 |
313 |
77 |
147 |
|
78 |
ARG |
ARG |
144 |
88 |
300 |
67 |
155 |
|
78 |
DWI |
DWI |
138 |
84 |
303 |
71 |
155 |
|
80 |
Junky's |
JNK |
133 |
76 |
321 |
83 |
159 |
|
81 |
GUN |
GUN |
133 |
76 |
326 |
84 |
160 |
|
82 |
P= |
P |
130 |
63 |
355 |
98 |
161 |
|
83 |
Kislanko ISOV |
KLK |
145 |
89 |
309 |
74 |
163 |
|
83 |
DKC |
DKC |
132 |
70 |
344 |
93 |
163 |
|
85 |
Sagarin
Predictor |
SP |
146 |
90 |
312 |
75 |
165 |
|
86 |
BoCaDuck |
BCD |
137 |
81 |
335 |
88 |
169 |
|
87 |
Marsee |
MAR |
143 |
86 |
328 |
85 |
171 |
|
88 |
Congrove |
CGV |
137 |
81 |
340 |
91 |
172 |
|
88 |
Kambour |
KAM |
148 |
91 |
320 |
81 |
172 |
|
90 |
Tellshow |
TSW |
135 |
80 |
349 |
96 |
176 |
|
91 |
Fremeau |
FEI |
153 |
96 |
320 |
82 |
178 |
|
92 |
Lawler |
LAW |
151 |
94 |
333 |
86 |
180 |
|
93 |
Nolan |
NOL |
138 |
84 |
354 |
97 |
181 |
|
93 |
Markov |
MKV |
157 |
101 |
318 |
80 |
181 |
|
95 |
Sport Theory |
STH |
150 |
92 |
338 |
90 |
182 |
|
96 |
Pigskin |
PIG |
152 |
95 |
337 |
89 |
184 |
|
97 |
Moore |
MOR |
153 |
96 |
341 |
92 |
188 |
|
98 |
Dolphin Pred |
DP |
158 |
103 |
334 |
87 |
190 |
|
99 |
Nutshell |
NUT |
154 |
98 |
344 |
94 |
192 |
|
100 |
Dunkel |
DUN |
154 |
98 |
347 |
95 |
193 |
|
101 |
PerformanZ |
PFZ |
150 |
92 |
371 |
104 |
196 |
|
102 |
PBI |
PBI |
155 |
100 |
359 |
101 |
201 |
|
103 |
Bassett |
BAS |
162 |
107 |
356 |
99 |
206 |
|
104 |
Born |
BRN |
158 |
103 |
375 |
105 |
208 |
|
104 |
SNS |
SNS |
157 |
101 |
410 |
107 |
208 |
|
106 |
Elrod |
ERD |
161 |
106 |
368 |
103 |
209 |
|
107 |
RTB |
RTB |
159 |
105 |
396 |
106 |
211 |
|
108 |
Gridmarks |
GM |
170 |
108 |
470 |
109 |
217 |
|
108 |
Burdorf |
BDF |
171 |
109 |
439 |
108 |
217 |
|
110 |
DEZ |
DEZ |
178 |
110 |
472 |
110 |
220 |
|
111 |
ACR |
ACR |
183 |
111 |
536 |
111 |
222 |
|